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Simplifying 4(x + 8) + -1(5x + -3) = -2x Reorder the terms: 4(8 + x) + -1(5x + -3) = -2x (8 * 4 + x * 4) + -1(5x + -3) = -2x (32 + 4x) + -1(5x + -3) = -2x Reorder the terms: 32 + 4x + -1(-3 + 5x) = -2x 32 + 4x + (-3 * -1 + 5x * -1) = -2x 32 + 4x + (3 + -5x) = -2x Reorder the terms: 32 + 3 + 4x + -5x = -2x Combine like terms: 32 + 3 = 35 35 + 4x + -5x = -2x Combine like terms: 4x + -5x = -1x 35 + -1x = -2x Solving 35 + -1x = -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 35 + -1x + 2x = -2x + 2x Combine like terms: -1x + 2x = 1x 35 + 1x = -2x + 2x Combine like terms: -2x + 2x = 0 35 + 1x = 0 Add '-35' to each side of the equation. 35 + -35 + 1x = 0 + -35 Combine like terms: 35 + -35 = 0 0 + 1x = 0 + -35 1x = 0 + -35 Combine like terms: 0 + -35 = -35 1x = -35 Divide each side by '1'. x = -35 Simplifying x = -35
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